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Atlas › Integer Profiles › Node 4,232,916

4,232,916

22 × 32 × 307 × 383
Abundant Even Composite

4,232,916 factors as 2^2 × 3^2 × 307 × 383. Its 36 positive divisors give a proper-divisor sum of 6,529,836, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 307 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 10,762,752
Proper Divisor Sum 6,529,836
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4232909 ← → #4232933

Radix Representation

Decimal 4232916
Binary 10000001001011011010100 (23 bits)
Octal 0o20113324
Hexadecimal 0x4096D4

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 307 383 614 766 921 1,149 1,228 1,532 1,842 2,298 2,763 3,447 3,684 4,596 5,526 6,894 11,052 13,788 117,581 235,162 352,743 470,324 705,486 1,058,229 1,410,972 2,116,458 4,232,916

Collatz Trajectory (149 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,232,916 2,116,458 1,058,229 3,174,688 1,587,344 793,672 396,836 198,418 99,209 297,628 148,814 74,407 223,222 111,611 334,834 167,417 502,252 251,126 125,563 376,690 188,345 565,036 282,518 141,259 423,778 211,889 635,668 317,834 158,917 476,752 238,376 119,188 59,594 29,797 89,392 44,696 22,348 11,174 5,587 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477

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